On completeness of orbits of Killing vector fields

Preprint

21 April 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9304029

Abstract

A Theorem is proved which reduces the problem of completeness of orbits of Killing vector fields in maximal globally hyperbolic, say vacuum, space--times to some properties of the orbits near the Cauchy surface. In particular it is shown that all Killing orbits are complete in maximal developements of asymptotically flat Cauchy data, or of Cauchy data prescribed on a compact manifold. This result gives a significant strengthening of the uniqueness theorems for black holes.

Keywords

COMPLETENESS OF ORBITS
KILLING VECTOR FIELDS
ORBITS OF KILLING
VECTOR FIELDS
CAUCHY DATA
BLACK HOLES
COMPACT

All Related Versions

Version 1, 1993-04-21, ArXiv
Published version: Classical and Quantum Gravity, 10 (10), 2091.

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